Proceedings of the 7th International Conference on Domain Decomposition Methods in Pennsylvania, USA (October 27-30 1993)
The printed version was published by AMS
Domain Decomposition Methods in Scientific and Engineering Computing
D.E. Keyes and J. Xue (Eds.)
1993, 546 p., Softcover, ISBN: 0-8218-5171-3
Preface (PDF)
Part I: Theory
- Interpolation spaces and optimal multilevel preconditioners (PDF).
F.A. Bornemann - Two-level additive Schwarz preconditioners for nonconforming finite elements (PDF).
S. C. Brenner - Two proofs of convergence for the combination technique for the efficient solution of sparse grid problems (PDF).
H.-J. Bungartz, M. Griebel, D. Röschke and C. Zenger - Domain decomposition methods for monotone nonlinear elliptic problems (PDF).
X-C. Cai and M. Dryja - Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results (PDF).
P. Deuflhard - Multilevel methods for elliptic problems with discontinuous coefficients in three dimensions (PDF).
M. Dryja - Multilevel methods for elliptic problems on domains not resolved by the coarse grid (PDF).
R. Kornhuber and H. Yserentant - Three dimenional domain decomposition methods with nonmatching grids and unstructured coarse solvers (PDF).
P. Le Tallec, T. Sassi and M. Vidrascu - Domain decomposition for elliptic problems with large condition numbers (PDF).
S.V. Nepomnyaaschikh - Stable suspace splittings for Sovolev spaces and domain decomposition algorithms (PDF).
P. Oswald - A wire basket method for spectral elements in three dimensions (PDF).
L.F. Pavarino - An analysis of spectral graph partitioning via quadratic assignment problems (PDF).
A. Pothen - Error estimators based on stable splittings (PDF).
U. Rüde - Multilevel methods for P1 nonconforming finite elements and discontinuous coefficients in three dimensions (PDF).
M. Sarkis - On generalized Schwarz coupling applied to advection-dominated problems (PDF).
K.H. Tan and M.J.A. Borsboom - Exotic coarse spaces for Schwarz methods for lower order and spectral finite elements (PDF).
O.B. Widlund
Part II: Algorithms
- Preconditioning via asymptotically-defined domains decomposition. (PDF).
S.F. Ashby, C.T. Kelley, P.E. Saylor and J.S. Scroggs - A spectral Stokes solver in domian decomposition methodsx (PDF).
M. Azaiez and A. Quateroni - Preconditioned iterative methods in a supspace for linear algebraic equations with large jumps in the coefficients. (PDF).
N.S. Bakhvalov and A.V. Knyazev - The hierachical basis multigrid method and incomplete LU decomposition. (PDF).
R.E. Bank and J. Xu - Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes. (PDF).
T.F. Chan and B.F. Smith - Two-grid methods for mixed element approximations of nonlinear parabolic equations. (PDF).
C.N. Dawson and M.F. Wheeler - Domain decomposition algorithms for PDE problems with large scale variations. (PDF).
L. Giraud and R.S. Tuminaro - A one shot domain decomposition/fictitious domain method for the Navier-Stokes equations. (PDF).
R. Glowinski, T.-W. Pan and J. Périaux - Domain-oriented multilevel methods. (PDF).
M. Griebel - Multigrid and domain decomposition methods for electrostatics problems. (PDF).
M. Holst and F. Saied - A parallel subspace decomposition method for hyperbolic equations. (PDF).
E. Katzer - Numerical treatments for the Helmholtz problem by domain decomposition techniques. (PDF).
S. Kim - Schwarz methods for obstacle problems with convection-diffusion operators. (PDF).
Y.A. Kutznetsov, P. Neittaanmäki and P. Tarvainen - On domain decomposition and shooting methods for two-point boundary value problems. (PDF).
C.-H. Lai - Robust methods for highly nonsymmetric problems. (PDF).
W. Layton, J. Maubach and P. Rabier - Domain decomposition via the Sinc-Galerkin method for second order differential equations. (PDF).
N.J. Lybeck and K.L. Bowers - A bisection method to find all solutions of a system of nonlinear equations. (PDF).
P. Mejzlik - Preconditioning cell-centered finite difference equations on grids with local refinement. (PDF).
I.D. Mishev - Outflow boundary conditions and domain decomposition method. (PDF).
F. Nataf and F. Rogier - Domain decomposition for adaptive hp finite element methods. (PDF).
J.T. Oden, A. Patra and Y. Feng - Domain decomposition preconditioners with Krylov supspace methods as subdomain solvers. (PDF).
M. Pernice - Elliptic preconditioners using fast summation techniques. (PDF).
L.R. Scott - The modified vertex space domain decomposition method for Neumann boundary value problems. (PDF).
J.P. Shao - A multi-color splitting method and convergence analysis for local grid refinement. (PDF).
T. Shih, C.-B. Liem, T. Lu and A. Zhou - Boundary elements in domain decomposition methods. (PDF).
O. Steinbach - An overdetermined Schwarz alternating method. (PDF).
V.H. Sun and W.-P. Tang - Domain decomposition for linear and nonlinear elliptic problems via function or space decomposition. (PDF).
X.-C. Tai - ELLAM-based domain decomposition and local refinement techniques for advection-diffusion equations with interfaces. (PDF).
H. Wang, H.K. Dahle, R.E. Ewing, T. Lin and J.E. Våg
Part III: Parallelism
- Parallel domain decomposition applied to coupled transport equations. (PDF).
P.E. Bjørstad, W.M. Coughran Jr. and E. Grosse - MENUS-PGG: A mapping environment for unstructured and structured numerical parallel grid generation. (PDF).
N. Chrisochoides, G. Fox and J. Thompson - A comparison of three iterative algorithms based on domain decomposition methods. (PDF).
P. Ciarlet Jr. - IBLU preconditioners for massively parallel computers. (PDF).
E. De Sturler - Tailoring domain decompostition methods for efficient parallel coarse grid solution and for systems with many right hand sides. (PDF).
C. Fahrhat and P.-S. Chen - Analysis and implementation of DD methods for parallel FE computations. (PDF).
H.X. Lin - Finite-element/Newton method for solution of nonlinear problems in transport processes using domain decomposition and nested dissection on MIMD parallel computers. (PDF).
M.R. Mehrabi and R.A. Brown - Modeling with collaborating PDE solvers: Theory and practice. (PDF).
M. Mu and J.R. Rice - Parallelization of a multigrid solver via a domain decomposition method. (PDF).
F.-X. Roux and D. Tromeur-Dervout - A Compiler for parallel finite element methods with domain-decomposed unstructured meshes. (PDF).
J.R. Shewchuk and O. Ghattas
Part IV: Applications
- A x-formulation of the viscous-inviscid domain decomposition for the Euler/Navier-Stokes equations. (PDF).
R. Arina and C. Canuto - Domain decomposition and computation of two dimensional detonation waves. (PDF).
W. Cai - Parallel implicit methods for aerodynamics. (PDF).
X.-C. Cai, W.D. Gropp, D.E. Keyes and M.D. Tidriri - Parallel domain-decomposed preconditioners in finite element shallow water flow modeling. (PDF).
Y. Cai and I.M. Navon - A domain decomposition method for Bellman equations. (PDF).
F. Camilli, M. Falcone, P. Lanucara and A. Seghini - Domain decomposition for the shallow water equations. (PDF).
J.G. Chefter, C.K. Chu and D.E. Keyes - Domain decomposition methods for device modelling. (PDF).
R.K. Coomer and I.G. Graham - An efficient computational method for the flow past an airfoil. (PDF).
G.C. Hsiao, M.D. Marcozzi and S. Zhang - Newton-Krylov-Schwarz techniques applied to the two-dimensional incompressible Navier-Stokes and energy equations. (PDF).
P.G. Jacobs, V.A. Mosseau, P.R. McHugh and D.A. Knoll - Direct numerical simulation of jet flow via a multi-block technique. (PDF).
H.C. Ku, H.E. Gilreath, R. Raul and J.C. Sommerer - Balancing domain decomposition for plates. (PDF).
P. Le Tallec, J. Mandel and M. Vidrascu - Nonlinear block iterative solution of semiconductor device equations by a domain decomposition method. (PDF).
S. Micheletti, A. Quarteroni and R. Sacco - A direct Chebyshev multidomain method for flow computation with application to rotating systems. (PDF).
I. Raspo, J. Ouazzani and R. Peyret - Multi-domain Fourier algorithms for parallel solution of the Navier-Stokes equations. (PDF).
L. Vozovoi, M. Israeli and A. Averbuch